How to Generate Pseudorandom Numbers | Infinite Series?

Imagine you have a special box that gives you numbers without asking, it just picks them randomly, like picking jellybeans from a jar full of different flavors. That's what pseudorandom number generators do, but they aren’t magic, they follow rules.

Inside the box is a simple rule: take the last number you had, multiply it by something secret (let’s say 7), and then keep only the part that fits in your jar (maybe 10 jellybeans). That becomes your new number. This rule helps make numbers look random, even though they’re not truly wild, they're just following a pattern.

Imagine you're playing a game where you need to guess what color jellybean comes next. If the box uses the same secret rule every time, you might figure it out after a while. But if you don’t know the secret, it looks like real randomness, just like how computers use this trick to play games, create passwords, and even help with space travel! Imagine you have a special box that gives you numbers without asking, it just picks them randomly, like picking jellybeans from a jar full of different flavors. That's what pseudorandom number generators do, but they aren’t magic, they follow rules.